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Finding the Fourth Proportional to 58.23, 87.30 and 24

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Solution

The fourth proportional to 58.23, 87.30 and 24 is: 35.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.23 : 87.30 = 24 : x
  2. Step 2: Convert to fraction form
    58.23/87.30 = 24/x
  3. Step 3: Cross multiply
    58.23x = 87.30 × 24
  4. Step 4: Simplify right side
    58.23x = 2,095.20
  5. Step 5: Solve for x
    x = 2,095.20/58.23
  6. Step 6: Final answer
    x = 35.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.